Processes for the enzyme-catalyzed production of triglycerides using polyunsaturated fatty acids, in which (a) the reaction of polyunsaturated fatty acids and/or C1-4 alkyl esters thereof with glycerol in vacuo in the presence of an immobilized enzyme to form their triglycerides is accelerated by addition of an additive from the group of weakly basic salts, complexing agents and ion exchangers and/or addition of a weakly basic salt and/or addition of an entraining agent in the form of a solvent or a gas and/or addition of glycerol-binding adsorbers and/or heat treatment of the partial glyceride intermediate product, (b) the immobilized enzymes are removed from the triglyceride by separation or filtration and (c) the remaining fatty acids and/or C1-4 alkyl esters thereof are removed from the triglyceride by distillation, refining or extraction.